Reliability analysis—a review and some perspectives

By Rüdiger Rackwitz. 2001

811 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f05fd1f5d55ca77ff9f06d925ef121995203e9e3

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In Civil and Structural Engineering

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Citations in the corpus

An inverse-measure-based unilevel architecture for reliability-based design optimization (2007, background): “The major concern in evaluating reliability constraints is the fact that reliability analysis methods are formulated as optimization problems (Rackwitz 2001).”
Multifidelity importance sampling (2016, methodology): “We develop our multifidelity approach in the context of the computation of failure probabilities [2, 3] with the Monte Carlo method and importance sampling [4, 5, 6].”
Non-Gradient–Based Algorithm for Structural Reliability Analysis (2014, background): “Therefore, recent decades are characterized by the growing realization of the fact that for meaningful analysis of engineering structures, uncertainty should be taken into account and the structural reliability theory provides a good methodology to do this (Rackwitz 2001; Madsen et al. 1986; Bjerage”
Efficient Probabilistic Algorithm Illustrated for a Rock Slope (2008, background): “On the other hand, the usefulness and accuracy of the FORM in most applications are well recognized, for instance in Rackwitz (2001) .”
Reliability updating with equality information (2011, methodology): “The method was originally proposed in [10] and is summarized in [2], where it is referred to as Axis-Parallel Importance Sampling (APIS).”
Design sensitivity and reliability-based structural optimization by univariate decomposition (2008, methodology): “The MPP has a distance βk(d ), which is commonly referred to as the Hasofer–Lind reliability index (Madsen et al. 1986; Rackwitz 2001), is determined by a standard, nonlinear, constrained optimization.”
Learning soil parameters and updating geotechnical reliability estimates under spatial variability – theory and application to shallow foundations (2017, methodology): “Equation (1) can be solved by application of any of the well-established structural reliability methods such as the first order reliability method (FORM) or sampling-based approaches (Ditlevsen and Madsen 1996; Rackwitz 2001; Phoon 2008).”